Highly accurate nonrelativistic ground-state wave function and energy of the lithium atom are obtained in the Hylleraas basis set. The leading relativistic corrections, as represented by the Breit-Pauli Hamiltonian, are obtained in fair agreement with the former results. The calculational method is based on analytical evaluation of Hylleraas integrals with the help of recursion relations.
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Puchalski et al. (2006) studied this question.
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